Symmetrization of wave functions of 4 and 5 atomic molecules

In the general one plotted the symmetrized wave functions (WF) of 4 and 5 atomic molecules with two, three and four similar atoms. One studied in detail symmetrization of the angular and radial parts of oscillating and rotating WF. Matrices of representations and the Clebsch-Gordon coefficients for the group of Sn (n = 3, 4) permutations were adapted to used in the molecular spectroscopy simplifying to draw on analogies with the theory of the effective Hamiltonian. Application for the symmetrized WF was shown to simplify essentially calculation of oscillating and rotating levels of energy based on the surface of the potential energy for such molecules as CH4, CH3D and CH3Cl